English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory onspaces of the form R x SU(3)/H, with H equals either SU(2) x U(1) or U(1) xU(1). For the corresponding quiver gauge theory we derive the equations ofmotion and construct some specific solutions for the Higgs fields usingdifferent gauge groups. Specifically we choose the gauge groups U(6) and U(8)for the space R x CP^2 as well as the gauge group U(3) for the space R xSU(3)/U(1)xU(1), and derive Yang-Mills equations for the latter one using aspin connection endowed with a non-vanishing torsion. We find that a specificvalue for the torsion is necessary in order to obtain non-trivial solutions ofYang-Mills equations. Finally, we take the space R x CP^1 x CP^2 and derive theequations of motion for the Higgs sector for a U(3m+3) gauge theory.

Yang-Mills Equations of Motion for the Higgs Sector of SU(3)-Equivariant Quiver Gauge Theories